No. The motor would sit such that it positions an attached gear cluster Cassette or freewheel) where that double sprocket is. You can put the chain on whatever sprockets give the right ratios
I have reread your post regarding mounting the hub motor I now understand.
Clamp the hub in drop outs/ins forward chain drive to front chain ring and backwards to the rear derailer via a conventional 7/11 hub.
Hub being secured in mid tub section.
The big advantages would be better trike weight distribution with battery/motor mid mounted and the centre tub is the stiffest part on my trike so best place for motor.
Only thing that bothers me is that the motor hub would be enclosed-would cooling be an issue?